Which is the product of the polynomial expressions (xy+1)(x−3)

Question

?(1 point)
Responses

x2y2−3xy+x−3
x squared y squared minus 3 x y plus x minus 3

x2y−3x2y−3
x squared y minus 3 x squared y minus 3

x2−2x−3
x squared minus 2 x minus 3

x2y−3xy+x−3

Answer 1

To find the product of the polynomial expressions \( (xy + 1)(x - 3) \), we'll use the distributive property (also known as the FOIL method for binomials).

Let's multiply each term in the first expression by each term in the second expression:

1. \( xy \cdot x = x^2y \)
2. \( xy \cdot (-3) = -3xy \)
3. \( 1 \cdot x = x \)
4. \( 1 \cdot (-3) = -3 \)

Now, combine these results: \[ x^2y - 3xy + x - 3 \]

So, the final product is: \[ x^2y - 3xy + x - 3 \]

Therefore, the correct response is: x²y − 3xy + x − 3